{"id":"W4406121580","doi":"10.1016/j.jalgebra.2024.12.014","title":"On the representation theory of Schur algebras in type B","year":2025,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Perimeter Institute; University of Waterloo; University of Toronto","funders":"Ontario Ministry of Research and Innovation; Natural Sciences and Engineering Research Council of Canada; Innovation, Science and Economic Development Canada; Institut Périmètre de physique théorique; Mitacs; Government of Canada; University of Sydney","keywords":"Mathematics; Schur algebra; Schur's theorem; Type (biology); Pure mathematics; Representation theory; Schur's lemma; Schur product theorem; Schur complement; Algebra over a field; Schur multiplier; Representation (politics); Schur decomposition; Symmetric group; Eigenvalues and eigenvectors","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001135362,0.0004162333,0.0004777304,0.001775508,0.001322141,0.002161173,0.0009986826,0.0009105128,0.003601527],"category_scores_gemma":[0.001893156,0.0002877097,0.0006552775,0.001380517,0.002901495,0.003645495,0.001303195,0.001076664,0.0005438744],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001229655,"about_ca_system_score_gemma":0.0005809789,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00184346,"about_ca_topic_score_gemma":0.0007810925,"domain_scores_codex":[0.9994017,0.0002075226,0.00002068125,0.00006842783,0.0001604295,0.0001410929],"domain_scores_gemma":[0.998958,0.0003823233,0.0002108917,0.0001144576,0.0001474132,0.0001869142],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001644593,0.00002272666,0.0002869494,0.0000154925,0.000003511713,0.00006183975,0.0003298587,0.0009499736,0.000801256,0.9951516,0.0002932927,0.002067045],"study_design_scores_gemma":[0.0000192281,0.00004347379,0.0003187642,0.00001953882,0.000005461607,0.00009582736,0.0001875284,0.01869163,0.0008983071,0.9776011,0.002101413,0.00001778119],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8009648,0.001594596,0.1140472,0.001542256,0.0001540229,0.00006710633,0.0001404548,0.0002096718,0.0812799],"genre_scores_gemma":[0.9837955,0.0004095251,0.008873046,0.0002028579,0.0001955865,0.00003645215,0.0000807726,0.00002500782,0.006381232],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003601527,"threshold_uncertainty_score":0.0120483,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03602370679291813,"score_gpt":0.3224201519121396,"score_spread":0.2863964451192215,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}